Adam Scott recently became the first Australian to win the 2013 Masters Golf Tournament, but it's his girlfriend Marie Kojzar who has been making headlines.

Female fans gushed over how attractive Scott was when he won the championship. The professional golfer had Twitter in a frenzy when Robert Mills, Bachelor creator suggested that he should be the dating show's next leading man.

Mills asked the question Sunday on Twitter: "Adam Scott as the next #Bachelor?? What say you, #Bachelornation?"

While talking to Gayle King in interview with CBS This Morning, Scott shut down rumors that he was a single man and looking to mingle. He mentioned that all the talk is quite "embarrassing but flattering," but said he wasn't "single at all."

"I am very much in a relationship and very happy at the moment," Scott said.

Scott's girlfriend, Kojzar is a Swedish blonde-haired beauty and architect, who is reported to be between the ages of 30 and 32.

Kojzar is younger than Scott, and is passionate about her work, according to the golfer.

"My girlfriend is a really ambitious person," Scott told Sports Illustrated in 2008. "She hasn't been going to school all these years to not put that knowledge to use."

Scott previously dated tennis player Ana Ivanovic.

During the morning show, Scott also talked about the importance of the win for Australia.

"I'm just trying to digest everything that has happened, but it's incredibly satisfying what has happened for me as a golfer," he said. "There's a lot more to swinging a club...it's a compliment that people like my golf swing."

Sources who works on Bachelor told told E! News earlier this week, "We are definitely going to pursue [Scott]. So far, no meeting's been set but we're trying."